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Finding the Third Proportional to 265,688 and 400,476

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Solution

The third proportional to 265,688 and 400,476 is: 603,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,688 : 400,476 = 400,476 : x
  2. Step 2: Convert to fraction form
    265,688/400,476 = 400,476/x
  3. Step 3: Cross multiply
    265,688x = 400,476 × 400,476
  4. Step 4: Simplify right side
    265,688x = 160,381,026,576
  5. Step 5: Solve for x
    x = 160,381,026,576/265,688
  6. Step 6: Final answer
    x = 603,644.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.